Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
, BA (Mathematics)
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Get ready for this number system class 9 MCQ online test that we have made for you. This number system quiz is going to test as well as give you even more clarity and understanding. If you are a class 9 student or above, you should be able to pass this quiz with a very good score. So, will you be able to get a score of 80 on this quiz? Let us see! Best of luck to you!
Questions and Answers
1.
The value of 1.999... in the Vulgar Fraction is:
A.
19/10
B.
199999/100000
C.
2
D.
1/9
Correct Answer
C. 2
Explanation The value of 1.999... in the Vulgar Fraction is 2. This is because the decimal 1.999... represents an infinite repeating pattern of 9s after the decimal point. When this pattern is converted to a fraction, it can be simplified to 2/1, which is equal to 2.
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2.
Every Whole Number is not a:
A.
Real Number
B.
Natural Number
C.
Integer
D.
Rational Number
Correct Answer
B. Natural Number
Explanation A natural number is a positive whole number that is used for counting and ordering. However, not every whole number is a natural number because natural numbers do not include zero. Therefore, the statement "Every Whole Number is not a Natural Number" is correct.
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3.
The decimal expansion of 1.01001000100001000001..... is?
A.
Non-Terminating
B.
Non Repeating
C.
Non Terminating but Repeating
D.
Non-Terminating Non Repeating
Correct Answer
D. Non-Terminating Non Repeating
Explanation The given decimal expansion is non-terminating because it continues indefinitely without reaching an end. It is also non-repeating because there is no pattern that repeats in the digits of the decimal. Therefore, the correct answer is "Non-Terminating Non Repeating".
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4.
The square of an irrational number is always rational? Is the state true or false?
A.
True
B.
False
Correct Answer
B. False
Explanation The statement "The square of an irrational number is always rational" is false. This is because when an irrational number is squared, the result can be either rational or irrational. For example, the square of the irrational number √2 is 2, which is rational. However, the square of the irrational number √3 is 3, which is also irrational. Therefore, the statement is not always true, making the correct answer false.
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5.
The number of Rational Numbers between 15 and 18 is finite.
A.
True
B.
False
Correct Answer
B. False
Explanation The statement is false because there are infinitely many rational numbers between any two given numbers. In this case, between 15 and 18, we can find an infinite number of rational numbers such as 15.1, 15.01, 15.001, and so on. Therefore, the number of rational numbers between 15 and 18 is not finite.
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6.
Under-root 225 is Rational.
A.
True
B.
False
Correct Answer
A. True
Explanation A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. The square root of 225 is 15, which can be expressed as the fraction 15/1. Since 15/1 is a quotient of two integers, the square root of 225 is rational. Therefore, the statement "Under-root 225 is Rational" is true.
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7.
Rational Number can never have Non-Terminating Non-Repeating Decimal Expansion.
A.
True
B.
False
Correct Answer
A. True
Explanation Rational numbers can never have a non-terminating, non-repeating decimal expansion because all rational numbers can be expressed as a fraction of two integers. When a rational number is expressed as a decimal, it either terminates (ends) or repeats a pattern. This is because the decimal representation of a rational number is determined by the numerator and denominator of the fraction. If the decimal does not terminate or repeat, it means that the fraction cannot be expressed as a ratio of two integers, making it an irrational number. Therefore, the statement is true.
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8.
Under-root 0.4 is Rational.
A.
True
B.
False
Correct Answer
B. False
Explanation The statement "Under-root 0.4 is Rational" is false. A rational number is defined as a number that can be expressed as the ratio of two integers, where the denominator is not zero. The square root of 0.4 is an irrational number because it cannot be expressed as a fraction of two integers. Therefore, the correct answer is false.
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9.
The Maximum Number of digits in the Repeating block of digits in the decimal expansion of 3/13 is _______?
Correct Answer 6
Explanation The maximum number of digits in the repeating block of digits in the decimal expansion of 3/13 is 6. This can be determined by performing the long division of 3 by 13. After the decimal point, the digit 2 is repeated, resulting in a repeating block of 6 digits.
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10.
The decimal representation of a Rational Number cannot be:
A.
Terminating
B.
Non- Terminating
C.
Non Terminating but Repeating
D.
Non-Terminating Non Repeating
Correct Answer
D. Non-Terminating Non Repeating
Explanation Decimal Expansions of a Rational Number can be either Terminating or Non-Terminating but Repeating.
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Janaisa Harris |BA (Mathematics)|
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
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